GATE 2014 Aerospace Engineering (AE) Syllabus
General Aptitude
1. Verbal Ability: English grammar, sentence completion, verbal analogies, word
groups, instructions, critical reasoning and verbal deduction.
2. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Engineering Mathematics
Linear Algebra: Matrix algebra, systems of linear equations, eigen values and eigen
vectors.
Calculus: Functions of single variable, limit, continuity and differentiability, mean value
theorems, evaluation of definite and improper integrals, partial derivatives, total
derivative, maxima and minima, gradient, divergence and curl, vector identities,
directional derivatives, line, surface and volume integrals. Theorems of Stokes, Gauss
and Green.
Differential Equations: First order linear and nonlinear equations, higher order linear
ODEs with constant coefficients, Cauchy and Euler equations, initial and boundary value
problems, Laplace transforms. Partial differential equations and separation of variables
methods.
Numerical methods: Numerical solution of linear and nonlinear algebraic equations,
integration by trapezoidal and Simpson rule, single and multi-step methods for
differential equations.
Flight Mechanics
Atmosphere: Properties, standard atmosphere. Classification of aircraft. Airplane (fixed
wing aircraft) configuration and various parts.
Airplane performance: Pressure altitude; equivalent, calibrated, indicated air speeds;
Primary flight instruments: Altimeter, ASI, VSI, Turn-bank indicator. Drag polar; takeoff
and landing; steady climb & descent,-absolute and service ceiling; cruise, cruise climb,
endurance or loiter; load factor, turning flight, V-n diagram; Winds: head, tail & cross
winds.
Static stability: Angle of attack, sideslip; roll, pitch & yaw controls; longitudinal stick
fixed & free stability, horizontal tail position and size; directional stability, vertical tail
position and size; dihedral stability. Wing dihedral, sweep & position; hinge moments,
stick forces.
Dynamic stability: Euler angles; Equations of motion; aerodynamic forces and
moments, stability & control derivatives; decoupling of longitudinal and lat-directional
dynamics; longitudinal modes; lateral-directional modes.
Space Dynamics
Central force motion, determination of trajectory and orbital period in simple cases.
Orbit transfer, in-plane and out-of-plane. Elements of rocket motor performance.
Aerodynamics
Basic Fluid Mechanics: Incompressible irrotational flow, Helmholtz and Kelvin
theorem, singularities and superposition, viscous flows, boundary layer on a flat plate.
Airfoils and wings: Classification of airfoils, aerodynamic characteristics, high lift
devices, Kutta-Joukowski theorem; lift generation; thin airfoil theory; wing theory;
induced drag; qualitative treatment of low aspect ratio wings.
Viscous Flows: Flow separation, introduction to turbulence, transition, structure of a
turbulent boundary layer.
Compressible Flows: Dynamics and Thermodynamics of I-D flow, isentropic flow,
normal shock, oblique shock, Prandtl-Meyer flow, flow in nozzles and diffusers, inviscid
flow in a c-d nozzle, flow in diffusers. subsonic and supersonic airfoils, compressibility
effects on lift and drag, critical and drag divergence Mach number, wave drag.
Wind Tunnel Testing: Measurement and visualization techniques.
Structures
Stress and Strain: Equations of equilibrium, constitutive law, strain-displacement
relationship, compatibility equations, plane stress and strain, Airy’s stress function.
Flight Vehicle Structures: Characteristics of aircraft structures and materials, torsion,
bending and flexural shear. Flexural shear flow in thin-walled sections. Buckling. Failure
theories. Loads on aircraft.
Structural Dynamics: Free and forced vibration of discrete systems. Damping and
resonance. Dynamics of continuous systems.
Propulsion
Thermodynamics of Aircraft Gas Turbine engines thrust and thrust augmentation
Turbo machinery: Axial compressors and turbines, centrifugal pumps and
compressors.
Aerothermodynamics of non-rotating propulsion components: Intakes, combustor
and nozzle. Thermodynamics of ramjets and scramjets. Elements of rocket propulsion.
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